What is the derivative of f(x)=(10)/x ?

The derivative of f(x)=(10)/x is -(10)/(x^2)

What is the first derivative of f(x)=(10)/x ?

The first derivative of f(x)=(10)/x is -(10)/(x^2)

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derivative of

f (x) = \frac{10}{x}

- \frac{10}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{10}{x})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 10 \frac{d}{d x} (\frac{1}{x})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 10 \frac{d}{d x} (x^{- 1})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 10 (- 1 \cdot x^{- 1 - 1})

Simplify

10 (- 1 \cdot x^{- 1 - 1}) : - \frac{10}{x ^{2}}

= - \frac{10}{x ^{2}}

\frac{d}{d x} (524288 sin (2 x))

\frac{1}{2 x ^{4}}

\int_{2}^{3} \frac{37}{3 - x} d x

\int 7 x^{\frac{2}{5}} + 5 x^{- \frac{4}{5}} d x

(0, 4), (2, - 3)

What is the derivative of f(x)=(10)/x ?
The derivative of f(x)=(10)/x is -(10)/(x^2)
What is the first derivative of f(x)=(10)/x ?
The first derivative of f(x)=(10)/x is -(10)/(x^2)